Download 1. Classify each triangle by its angle measures. a). BEA b). DBC c

Geometry Pre-AP
Homework 4.1
Name_____________________________
1. Classify each triangle by its angle measures.
a).  BEA
b).  DBC
c).  ABC
2. Classify each triangle by its side lengths.
a).  PST
b).  RSP
c).  RPT
Find the value of the variable.
3.
4.
Draw an example of each type of triangle OR explain why it is not possible. BE SURE YOU LABEL!
5. Isosceles Right
6. Equiangular Obtuse
7. Scalene Right
8. Acute Equilateral
9. An isosceles triangle has a perimeter of 34 cm. The congruent sides measure (4x – 1) cm. The length of the third
side is x cm. What is the value of x?
Tell whether each statement is Sometimes, Always, or Never true.
10. An acute triangle is a scalene triangle. _____________________
11. A scalene triangle is an obtuse triangle. ________________________
12. An equiangular triangle is an isosceles triangle. _____________________.
13. The measures of the angles of a triangle are in the ratio 1 : 4 : 7. What are the measures of the angles? (Hint:
Let x, 4x, and 7x represent the angle measures.)
14. The measure of one acute angle in a right triangle is 1
1
times the measure of the other acute angle. What is
4
the measure of the larger acute angle?
Find the measure of the given angles.
15. m  E = _________
16. m  TRU =__________
R
A
110 
D
C
B
S
E
17. y =
U
T
18. Write a formula for the side length s of an
equilateral triangle, given the perimeter p.
L
M
57
(1.5y – 12)o